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Simplifying 3 + 7(2v + 8) = 115 Reorder the terms: 3 + 7(8 + 2v) = 115 3 + (8 * 7 + 2v * 7) = 115 3 + (56 + 14v) = 115 Combine like terms: 3 + 56 = 59 59 + 14v = 115 Solving 59 + 14v = 115 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 14v = 115 + -59 Combine like terms: 59 + -59 = 0 0 + 14v = 115 + -59 14v = 115 + -59 Combine like terms: 115 + -59 = 56 14v = 56 Divide each side by '14'. v = 4 Simplifying v = 4
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